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16-03-2024 | Original Article

Convex or non-convex? A new meta-frontier data envelopment analysis framework considering technology compatibility

Authors: Lei Chen, Yi-Xin Lan, Suhui Wang

Published in: OR Spectrum

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Abstract

The convexity of meta-frontier is a debated topic in data envelopment analysis (DEA). This paper claims that meta-frontier is a non-convex hull, but the production activities between the non-convex meta-frontier and the convex traditional production frontier may be feasible. Therefore, technology compatibility is defined to explain this feasibility, and a modified DEA model is constructed to evaluate the efficiency of decision-making units with technology heterogeneity and technology compatibility. Sequentially, two new meta-frontier DEA frameworks are constructed to evaluate and decompose efficiency, thereby revealing the impact of technology heterogeneity and technology compatibility on efficiency. In addition, a series of discussions are presented to analyze these two new frameworks.

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Title: Convex or non-convex? A new meta-frontier data envelopment analysis framework considering technology compatibility
Authors: Lei Chen
Yi-Xin Lan
Suhui Wang
Publication date: 16-03-2024
Publisher: Springer Berlin Heidelberg
Published in: OR Spectrum
Print ISSN: 0171-6468
Electronic ISSN: 1436-6304
DOI: https://doi.org/10.1007/s00291-024-00753-3